Use Cases
Elizabeth King
Kevin Middleton
Potential & Limitations of Monte Carlo Methods
Highly flexible
Few assumptions
Need to demonstrate validity for new applications
Case Studies
Taken directly from our own experiences
Automated counting of fruit fly eggs
Automated counting of fruit fly eggs
Turning flight in hummingbirds
Turning flight in hummingbirds
Turning flight in hummingbirds
Turning flight in hummingbirds
Mosaic evolution in Mesozoic birds
Mosaic evolution in Mesozoic birds
Mosaic evolution in Mesozoic birds
Candidate Genetic Loci in the DSPR
Power analysis via simulation of genetic mapping (see Quant Methods 1, 11-3)
Detecting multiallelism
Simulating a null for differences between allele frequencies
Multiallelism
Multiallelism
Allele Frequency Differences
Allele Frequency Differences
What questions do we ask when we use statistics?
Parameter (point) estimation
Given a model, with unknown parameters (
\(\theta_0\)
,
\(\theta_1\)
, …,
\(\theta_k\)
), how to estimate values of those parameters?
Interval estimation
How to quantify the uncertainty associated with parameter estimates?
Hypothesis testing
How to test hypotheses about parameter estimates?